CUBE

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                                                Cube

Method 1:We will explain with a exmple.

Ex:Find the cube of 51 i.e. 51^3

Step 1:Cube ten's digit that means 5^3

125

Step 2: Compare the ratio between Ten's Digit and Unit's Digit that means compare 5 ratio with 1 i.e. 5:1

Now we will write next digit to right hand side with ratio 5:1

125                25             5                 1 ------------First Row

Step 3:Now Double the digit 2nd and 3rd from right hand side

                     50            10                     ----------Second Row

Step 4:Add the First and Second Row

125               25              5                  1

                     50             10

125               75             15                  1

132(Add Carry 7) 6(Carry 7) 5(Carrry 1 ) 1

i.e

51^3 = 132651

Method 2:We will explain with a exmple.

Ex:Find the cube of 87 i.e. 87^3

First(Ten) Digit =8

Second (Unit)Digit=7

Step 1:

First Row::Write down the Ten's Digit Cube Square Digit

8^3               8^2                  8

512                64                    8

Second Row::Write down the unit's Digit Digit Square Cube from leave one place from left handside.

                            7                    7^2              7^3

                       7                    49                 343

Third Row::Multiply 2nd and 3rd place of First row and Second row Then Add First Row and Second Row.

512                      64                        8

                            *7                       *49                  343

512                     448                      392                 343

Four Row:Multiply by 3 (Because we are doing cube) in the third row at 2nd and 3rd place digit.

512                   448                      392                    343

                           *3                        *3

512                   1344                    1176                  343

658(Add 146) 5(Add 121 carry 146) 0(Add 34 and Carry 121) 3(carry 34)

i;e

87^3=658503